6533b839fe1ef96bd12a656c
RESEARCH PRODUCT
A simulation function approach for best proximity point and variational inequality problems
Mujahid AbbasCalogero VetroYusuf I. Suleimansubject
best proximity point fixed point simulation functions variational inequality problemsNumerical AnalysisControl and OptimizationAlgebra and Number Theory010102 general mathematicsMathematical analysisFunction (mathematics)01 natural sciences010101 applied mathematicsSettore MAT/05 - Analisi MatematicaVariational inequalityProximity problemsDiscrete Mathematics and CombinatoricsApplied mathematicsPoint (geometry)0101 mathematicsAnalysisMathematicsdescription
We study sufficient conditions for existence of solutions to the global optimization problem min(x is an element of A) d(x, fx), where A, B are nonempty subsets of a metric space (X, d) and f : A -> B belongs to the class of proximal simulative contraction mappings. Our results unify, improve and generalize various comparable results in the existing literature on this topic. As an application of the obtained theorems, we give some solvability theorems of a variational inequality problem.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2017-01-01 | Miskolc Mathematical Notes |